Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(-2 - 3\right)}^{2} - \left(-1 - -1\right)\left(-5 + -5\right) $$
Correct Answer
$$ 25$$ or 25.0000

2. Simplify 2

Simplify the following expression: $$ {\left(2 + 3\right)}^{2} - \left(\frac{4}{5} + 4 - -3\right) $$
Correct Answer
$$ \frac{86}{5}$$ or 17.2000

3. Fractions 1

Simplify the following expression: $$ \frac{5}{2} + \frac{-1}{5} $$
Correct Answer
$$ \frac{23}{10}$$ or 2.3

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-5}{5}}{\frac{-1}{3}} $$
Correct Answer
$$ 3$$ or 3.0

5. Significant figures

1. Write the following to 5 significant figures: 0.0012386912
Correct Answer
0.0012387 or $$1.2387\times10^{-3}$$
2. Write the following to 3 significant figures: 0.35325443
Correct Answer
0.353 or $$3.53\times10^{-1}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 1600.46
Correct Answer
$$1.60\times10^{3}$$
2. Write the following in standard form to 5 significant digits: 0.00000470810
Correct Answer
$$4.7081\times10^{-6}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.02024365
Correct Answer
$$20.244\times10^{-3}$$
2. Write the following in preferred standard form to 2 significant digits: 24440
Correct Answer
$$24\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{-3\times6 - \left(6 + 6\right)}{{\left(\frac{4}{-2}\right)}^{2}} $$
Correct Answer
$$ \frac{-15}{2}$$ or -7.50000

9. Simplify 1

Simplify the following expression: $$ {\left(-2 + 4\right)}^{2} + 2(-6)\left(-2 + -4\right) $$
Correct Answer
$$ 76$$ or 76.0000

10. Simplify 2

Simplify the following expression: $$ \frac{-4}{2}{5}^{-1} - 2(-3)4 $$
Correct Answer
$$ \frac{118}{5}$$ or 23.6000


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